गणित और अंग्रेजी 10वीं कक्षा

Math

• Arithmetic: Basic operations (addition, subtraction, multiplication, division) with whole numbers, fractions, decimals, and percentages. Includes order of operations (PEMDAS/BODMAS).
• Algebra: Variables and equations; solving equations, inequalities, graphing linear equations; systems of equations and linear inequalities.
• Geometry: Shapes, sizes, positions of figures; basic shapes (triangles, squares, circles), area, perimeter, volume, angles, constructions; coordinate geometry and transformations.
• Trigonometry: Relationships between sides and angles of right-angled triangles; trigonometric functions (sine, cosine, tangent) and their applications.
• Calculus: Study of change and motion; concepts of derivatives and integrals.

English

• Grammar: Rules governing language structure and use; parts of speech, sentence structure, punctuation, and mechanics.
• Vocabulary: Word knowledge and meanings; context clues, root words, prefixes, and suffixes.
• Reading Comprehension: Understanding and interpreting written material; analyzing text, identifying main ideas, supporting details, inferences, tone, purpose, and author's message.
• Writing: Expressing thoughts and ideas in writing; essay writing, paragraph development, different writing styles (narrative, expository, persuasive, etc.); effective use of vocabulary, grammar, and mechanics.
• Literature: Understanding and analyzing literary forms and genres (novels, poems, plays, short stories); exploring themes, characters, plots, and literary devices (metaphor, simile, alliteration, etc.).

Reasoning

• Logical Reasoning: Evaluating arguments and drawing conclusions.
• Critical Thinking: Analyzing information objectively; identifying biases and forming well-supported judgments.
• Problem-Solving: Identifying problems, generating solutions, and evaluating effectiveness.
• Inductive Reasoning: Drawing general conclusions from specific observations.
• Deductive Reasoning: Using general premises to reach specific conclusions.

General Knowledge

• History: Significant events, people, and societal developments across different periods and regions.
• Geography: Earth's physical features, locations, populations, and human-environment interactions.
• Science: Biology, chemistry, physics, and other scientific fields; understanding scientific methods and processes. Facts about the natural world.
• Current Events: Recent world events, issues, and trends.
• Culture and Society: Different cultures, social structures, beliefs, customs, and traditions.